Difference between 2 numbers is 80. 1 number is 9 times the other.

what are the numbers?

The difference between two numbers is 80
x - y = 80
One number is 9 times the other is
x = 9 y
So substitute the x into the first equation and solve for y, then multiply this result by 9 to find x.
9 y - y = 80
8y = 80
y = 10
So x = 9y = 90.

let x & y be the numbers.....

given that

x - y = 80--------(1)

also given

x = 9y-----------(2)

substitute (2) in (1)

9y - y = 80

y = 10

substitute in (2)

x = 90

therefore 90 and 10 are the answers

...............☺

Assume x is the larger number, y is the smaller.

x - y = 80
x = 9y

So
9y - y = 80
8y = 80
y = 10

x = 9y
x = 9(10)
x = 90

Done.

let one number is x
so the other number is 9x
according to question 9x-x=80
=> 8x=80
=> x=10

so the two numbers are 10, and 90